Results for 'Square of opposition'

998 found
Order:
  1.  35
    The Open Future Square of Opposition: A Defense.Elijah Hess - 2017 - Sophia 56 (4):573-587.
    This essay explores the validity of Gregory Boyd’s open theistic account of the nature of the future. In particular, it is an investigation into whether Boyd’s logical square of opposition for future contingents provides a model of reality for free will theists that can preserve both bivalence and a classical conception of omniscience. In what follows, I argue that it can.
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark   4 citations  
  2.  75
    New Dimensions of the Square of Opposition.Jean-Yves Beziau & Stamatios Gerogiorgakis (eds.) - 2017 - Munich: Philosophia.
    The square of opposition is a diagram related to a theory of oppositions that goes back to Aristotle. Both the diagram and the theory have been discussed throughout the history of logic. Initially, the diagram was employed to present the Aristotelian theory of quantification, but extensions and criticisms of this theory have resulted in various other diagrams. The strength of the theory is that it is at the same time fairly simple and quite rich. The theory of oppositions (...)
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark   1 citation  
  3.  21
    The Square of Opposition: From Russell's Logic to Kant's Cosmology.Giovanni Mion - 2014 - History and Philosophy of Logic 35 (4):377-382.
    In this paper, I will show to what extent we can use our modern understanding of the Square of Opposition in order to make sense of Kant 's double standard solution to the cosmological antinomies. Notoriously, for Kant, both theses and antitheses of the mathematical antinomies are false, while both theses and antitheses of the dynamical antinomies are true. Kantian philosophers and interpreters have criticized Kant 's solution as artificial and prejudicial. In the paper, I do not dispute (...)
    Direct download (6 more)  
     
    Export citation  
     
    Bookmark  
  4.  57
    Things That Are Right with the Traditional Square of Opposition.Terence Parsons - 2008 - Logica Universalis 2 (1):3-11.
    . The truth conditions that Aristotle attributes to the propositions making up the traditional square of opposition have as a consequence that a particular affirmative proposition such as ‘Some A is not B’ is true if there are no Bs. Although a different convention than the modern one, this assumption remained part of centuries of work in logic that was coherent and logically fruitful.
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark   4 citations  
  5.  21
    Subalternation and Existence Presuppositions in an Unconventionally Formalized Canonical Square of Opposition.Dale Jacquette - 2016 - Logica Universalis 10 (2-3):191-213.
    An unconventional formalization of the canonical square of opposition in the notation of classical symbolic logic secures all but one of the canonical square’s grid of logical interrelations between four A-E-I-O categorical sentence types. The canonical square is first formalized in the functional calculus in Frege’s Begriffsschrift, from which it can be directly transcribed into the syntax of contemporary symbolic logic. Difficulties in received formalizations of the canonical square motivate translating I categoricals, ‘Some S is (...)
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark   1 citation  
  6.  9
    Syllogisms and 5-Square of Opposition with Intermediate Quantifiers in Fuzzy Natural Logic.Petra Murinová & Vilém Novák - 2016 - Logica Universalis 10 (2-3):339-357.
    In this paper, we provide an overview of some of the results obtained in the mathematical theory of intermediate quantifiers that is part of fuzzy natural logic. We briefly introduce the mathematical formal system used, the general definition of intermediate quantifiers and define three specific ones, namely, “Almost all”, “Most” and “Many”. Using tools developed in FNL, we present a list of valid intermediate syllogisms and analyze a generalized 5-square of opposition.
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark   1 citation  
  7.  55
    The Square of Opposition and the Four Fundamental Choices.Antonino Drago - 2008 - Logica Universalis 2 (1):127-141.
    . Each predicate of the Aristotelian square of opposition includes the word “is”. Through a twofold interpretation of this word the square includes both classical logic and non-classical logic. All theses embodied by the square of opposition are preserved by the new interpretation, except for contradictories, which are substituted by incommensurabilities. Indeed, the new interpretation of the square of opposition concerns the relationships among entire theories, each represented by means of a characteristic predicate. (...)
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark   1 citation  
  8.  38
    Non-Classical Stems From Classical: N. A. Vasiliev’s Approach to Logic and His Reassessment of the Square of Opposition[REVIEW]Valentin A. Bazhanov - 2008 - Logica Universalis 2 (1):71-76.
    . In the XIXth century there was a persistent opposition to Aristotelian logic. Nicolai A. Vasiliev (1880–1940) noted this opposition and stressed that the way for the novel – non-Aristotelian – logic was already paved. He made an attempt to construct non-Aristotelian logic (1910) within, so to speak, the form (but not in the spirit) of the Aristotelian paradigm (mode of reasoning). What reasons forced him to reassess the status of particular propositions and to replace the square (...)
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark   1 citation  
  9.  17
    The Square of Opposition: A Cornerstone of Thought.Jean-Yves Beziau & Gianfranco Basti (eds.) - 2016 - Basel, Switzerland: Birkhäuser.
    This is a collection of new investigations and discoveries on the theory of opposition (square, hexagon, octagon, polyhedra of opposition) by the best specialists from all over the world. The papers range from historical considerations to new mathematical developments of the theory of opposition including applications to theology, theory of argumentation and metalogic.
    Direct download  
     
    Export citation  
     
    Bookmark   1 citation  
  10.  54
    Visualizations of the Square of Opposition.Peter Bernhard - 2008 - Logica Universalis 2 (1):31-41.
    . In logic, diagrams have been used for a very long time. Nevertheless philosophers and logicians are not quite clear about the logical status of diagrammatical representations. Fact is that there is a close relationship between particular visual (resp. graphical) properties of diagrams and logical properties. This is why the representation of the four categorical propositions by different diagram systems allows a deeper insight into the relations of the logical square. In this paper I want to give some examples.
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark   1 citation  
  11.  49
    Weakened Semantics and the Traditional Square of Opposition.Luis Estrada-González - 2008 - Logica Universalis 2 (1):155-165.
    . In this paper we present a proposal that (i) could validate more relations in the square than those allowed by classical logic (ii) without a modification of canonical notation neither of current symbolization of categorical statements though (iii) with a different but reliable semantics.
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark  
  12.  61
    The Square of Opposition and the Paradoxes.Teresa Marques - 2008 - Logica Universalis 2 (1):87-105.
    Can an appeal to the difference between contrary and contradictory statements, generated by a non-uniform behaviour of negation, deal adequately with paradoxical cases like the sorites or the liar? This paper offers a negative answer to the question. This is done by considering alternative ways of trying to construe and justify in a useful way (in this context) the distinction between contraries and contradictories by appealing to the behaviour of negation only. There are mainly two ways to try to do (...)
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark  
  13. Square of Opposition.Author unknown - 2004 - Internet Encyclopedia of Philosophy.
  14.  84
    The Square of Opposition and Generalized Quantifiers.Duilio D'Alfonso - 2012 - In J.-Y. Beziau & Dale Jacquette (eds.), Around and Beyond the Square of Opposition. Birkhäuser. pp. 219--227.
    In this paper I propose a set-theoretical interpretation of the logical square of opposition, in the perspective opened by generalized quantifier theory. Generalized quantifiers allow us to account for the semantics of quantificational Noun Phrases, and of other natural language expressions, in a coherent and uniform way. I suggest that in the analysis of the meaning of Noun Phrases and Determiners the square of opposition may help representing some semantic features responsible to different logical properties of (...)
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark   2 citations  
  15.  16
    Singular Propositions, Negation and the Square of Opposition.Lopamudra Choudhury & Mihir Kumar Chakraborty - 2016 - Logica Universalis 10 (2-3):215-231.
    This paper contains two traditions of diagrammatic studies namely one, the Euler–Venn–Peirce diagram and the other, following tradition of Aristotle, the square of oppositions. We put together both the traditions to study representations of singular propositions, their negations and the inter relationship between the two. Along with classical negation we have incorporated negation of another kind viz. absence. We have also considered the changes that take place in the context of open universe.
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark   4 citations  
  16.  53
    The Traditional Square of Opposition.Terence Parsons - 2008 - Stanford Encyclopedia of Philosophy.
    This entry traces the historical development of the Square of Opposition, a collection of logical relationships traditionally embodied in a square diagram. This body of doctrine provided a foundation for work in logic for over two millenia. For most of this history, logicians assumed that negative particular propositions ("Some S is not P") are vacuously true if their subjects are empty. This validates the logical laws embodied in the diagram, and preserves the doctrine against modern criticisms. Certain (...)
    Direct download  
     
    Export citation  
     
    Bookmark   17 citations  
  17.  44
    Contradiction, Quantum Mechanics, and the Square of Opposition.Jonas R. B. Arenhart & Décio Krause - unknown
    We discuss the idea that superpositions in quantum mechanics may involve contradictions or contradictory properties. A state of superposition such as the one comprised in the famous Schrödinger’s cat, for instance, is sometimes said to attribute contradictory properties to the cat: being dead and alive at the same time. If that were the case, we would be facing a revolution in logic and science, since we would have one of our greatest scientific achievements showing that real contradictions exist.We analyze that (...)
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark   13 citations  
  18.  33
    Ploucquet’s “Refutation” of the Traditional Square of Opposition.Wolfgang Lenzen - 2008 - Logica Universalis 2 (1):43-58.
    . In the 18th century, Gottfried Ploucquet developed a new syllogistic logic where the categorical forms are interpreted as set-theoretical identities, or diversities, between the full extension, or a non-empty part of the extension, of the subject and the predicate. With the help of two operators ‘O’ (for “Omne”) and ‘Q’ (for “Quoddam”), the UA and PA are represented as ‘O(S) – Q(P)’ and ‘Q(S) – Q(P)’, respectively, while UN and PN take the form ‘O(S) > O(P)’ and ‘Q(S) > (...)
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark  
  19.  22
    Could the Aristotelian Square of Opposition Be Translated Into Chinese?Mary Tiles & Yuan Jinmei - 2004 - Dao: A Journal of Comparative Philosophy 4 (1):137-149.
    To translate the Aristotelian square of opposition into Chinese requires restructuring the Aristotelian system of genus-species into the Chinese way of classification and understanding of the focus-field relationship. The feature of the former is on a tree model, while that of the later is on the focusfield model. Difficulties arise when one tries to show contraries betweenA- type and E-type propositions in the Aristotelian square of opposition in Chinese, because there is no clear distinction between universal (...)
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark   2 citations  
  20.  13
    Pluralism in Logic: The Square of Opposition, Leibniz'Principle of Sufficient Reason and Markov's Principle.Antonino Drago - 2012 - In J.-Y. Beziau & Dale Jacquette (eds.), Around and Beyond the Square of Opposition. Birkhäuser. pp. 175--189.
  21.  3
    Thinking Outside the Square of Opposition Box.Dale Jacquette - 2012 - In J.-Y. Beziau & Dale Jacquette (eds.), Around and Beyond the Square of Opposition. Birkhäuser. pp. 73--92.
  22.  20
    Around and Beyond the Square of Opposition.Jean-Yves Béziau & Dale Jacquette (eds.) - 2012 - Springer Verlag.
    Jean-Yves Béziau Abstract In this paper I relate the story about the new rising of the square of opposition: how I got in touch with it and started to develop new ideas and to organize world congresses on the topic with subsequent publications.
    Direct download  
    Translate
     
     
    Export citation  
     
    Bookmark   1 citation  
  23.  8
    Boethius on the Square of Opposition.Manuel Correia - 2012 - In J.-Y. Beziau & Dale Jacquette (eds.), Around and Beyond the Square of Opposition. Birkhäuser. pp. 41--52.
  24.  42
    On the Aristotelian Square of Opposition.Dag Westerståhl - 2005 - In Felix Larsson (ed.), Kapten Mnemos Kolumbarium. Philosophical Communications.
    A common misunderstanding is that there is something logically amiss with the classical square of opposition, and that the problem is related to Aristotle’s and medieval philosophers’ rejection of empty terms. But [Parsons 2004] convincingly shows that most of these philosophers did not in fact reject empty terms, and that, when properly understood, there are no logical problems with the classical square. Instead, the classical square, compared to its modern version, raises the issue of the existential (...)
    Direct download  
    Translate
     
     
    Export citation  
     
    Bookmark   1 citation  
  25.  13
    Completing the Square of Opposition.Ru Michael Sabre - 1989 - Argumentation 3 (1):97-107.
    In this paper a set of categorical sentences called an antilogistic tetrad is presented as a perspective on Aristotle's square of opposition. An antilogistic tetrad is formed by collecting the premises of a pair of valid syllogisms the conclusions of which are contradictory categorical sentences. A set of such premises serves to bring together Aristotle's concern with debate and the syllogism, and as such may be seen as a way of “completing” Aristotle's analysis of the square of (...)
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark   1 citation  
  26.  22
    The New Rising of the Square of Opposition.Jean-Yves Béziau - 2012 - In J.-Y. Beziau & Dale Jacquette (eds.), Around and Beyond the Square of Opposition. Birkhäuser. pp. 3--19.
  27.  38
    The Square of Opposition — a New Approach.H. Greniewski - 1953 - Studia Logica 1 (1):297-301.
    The theory of the square of opposition has been worked out many centuries ago as a part of Aristotelian logic of terms.In spite of its inexactness (for instance it is not possible to decide whether the termsquare of opposition is a logical or a metalogical term) this theory is included without any changes in the usual elementary course of logic.The author defines the square of opposition in the language of the logic of propositions (see Def. (...)
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark  
  28.  8
    Why the Fregean “Square of Opposition” Matters for Epistemology.Raffaela Giovagnoli - 2012 - In J.-Y. Beziau & Dale Jacquette (eds.), Around and Beyond the Square of Opposition. Birkhäuser. pp. 111--116.
    Direct download  
     
    Export citation  
     
    Bookmark  
  29.  17
    Leibniz’s Logic and the “Cube of Opposition”.Wolfgang Lenzen - 2016 - Logica Universalis 10 (2-3):171-189.
    After giving a short summary of the traditional theory of the syllogism, it is shown how the square of opposition reappears in the much more powerful concept logic of Leibniz. Within Leibniz’s algebra of concepts, the categorical forms are formalized straightforwardly by means of the relation of concept-containment plus the operator of concept-negation as ‘S contains P’ and ‘S contains Not-P’, ‘S doesn’t contain P’ and ‘S doesn’t contain Not-P’, respectively. Next we consider Leibniz’s version of the so-called (...)
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark   2 citations  
  30.  29
    On Two Squares of Opposition: The Leśniewski's Style Formalization of Synthetic Propositions. [REVIEW]Andrew Schumann - 2013 - Acta Analytica 28 (1):71-93.
    In the paper we build up the ontology of Leśniewski’s type for formalizing synthetic propositions. We claim that for these propositions an unconventional square of opposition holds, where a, i are contrary, a, o (resp. e, i) are contradictory, e, o are subcontrary, a, e (resp. i, o) are said to stand in the subalternation. Further, we construct a non-Archimedean extension of Boolean algebra and show that in this algebra just two squares of opposition are formalized: conventional (...)
    Direct download (8 more)  
     
    Export citation  
     
    Bookmark   4 citations  
  31.  11
    Cubes and Hypercubes of Opposition, with Ethical Ruminations on Inviolability.Frode Bjørdal - 2016 - Logica Universalis 10 (2-3):373-376.
    We show that we in ways related to the classical Square of Opposition may define a Cube of Opposition for some useful statements, and we as a by-product isolate a distinct directive of being inviolable which deserves attention; a second central purpose is to show that we may extend our construction to isolate hypercubes of opposition of any finite cardinality when given enough independent modalities. The cube of opposition for obligations was first introduced publically in (...)
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark   1 citation  
  32.  37
    Aristotle and the Moral Square of Opposition.Hilail Gildin - 1970 - The Monist 54 (1):100-105.
    1. Aristotle’s doctrine of the mean—hereafter DM—still provokes discussion. To my knowledge this discussion has not yet singled out an important logical pattern latent in DM. I think this pattern can help explain Aristotle’s failure to “… speak in terms of rules of conduct which apply equally to all men, and which all can understand.”.
    Direct download (5 more)  
     
    Export citation  
     
    Bookmark   1 citation  
  33.  37
    The Square of Opposition.Everett J. Nelson - 1932 - The Monist 42 (2):269-278.
  34.  18
    In Defense of the Square of Opposition.John J. Doyle - 1951 - New Scholasticism 25 (4):367-396.
  35.  17
    The Square of Opposition in Action.John J. Doyle - 1961 - New Scholasticism 35 (1):41-75.
  36.  28
    Square of Opposition: A Diagram and a Theory in Historical Perspective.Jean-Yves Beziau & Stephen Read - 2014 - History and Philosophy of Logic 35 (4):315-316.
  37.  24
    Generalized Quantifiers and the Square of Opposition.Mark Brown - 1984 - Notre Dame Journal of Formal Logic 25 (4):303-322.
  38.  27
    The Square of Opposition.George Englebretsen - 1976 - Notre Dame Journal of Formal Logic 17 (4):531-541.
  39.  15
    Around and Beyond the Square of Opposition.Wolfgang Kienzler - 2014 - History and Philosophy of Logic 35 (4):410-411.
  40.  4
    Review: Henryk Greniewski, Versuch Einer "Verjungung" des Logischen Quadrates; Henryk Greniewski, The Square of Opposition--A New Approach. [REVIEW]Johannes Bendiek - 1955 - Journal of Symbolic Logic 20 (1):83-84.
  41. Around and Beyond the Square of Opposition.J.-Y. Beziau & Dale Jacquette (eds.) - 2012 - Birkhäuser.
    Translate
     
     
    Export citation  
     
    Bookmark   5 citations  
  42.  26
    Logical Geometries and Information in the Square of Oppositions.Hans Smessaert & Lorenz Demey - 2014 - Journal of Logic, Language and Information 23 (4):527-565.
    The Aristotelian square of oppositions is a well-known diagram in logic and linguistics. In recent years, several extensions of the square have been discovered. However, these extensions have failed to become as widely known as the square. In this paper we argue that there is indeed a fundamental difference between the square and its extensions, viz., a difference in informativity. To do this, we distinguish between concrete Aristotelian diagrams and, on a more abstract level, the Aristotelian (...)
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark   15 citations  
  43.  51
    On Aristotle's Square of Opposition.Manley Thompson - 1953 - Philosophical Review 62 (2):251-265.
  44. The Square of Opposition: A General Framework for Cognition.Jean-Yves Beziau & Gillman Payette (eds.) - 2011
    No categories
     
    Export citation  
     
    Bookmark   1 citation  
  45.  15
    Apuleius and the Square of Opposition.Carmen Johanson & David Londey - 1984 - Phronesis 29 (2):165-173.
  46. Necessary Propositions and the Square of Opposition.Mark Roberts - 1992 - The Thomist 56:427-433.
     
    Export citation  
     
    Bookmark  
  47.  25
    Fiction and the Square of Opposition.Alice Ambrose & Morris Lazerowitz - 1969 - Kagaku Tetsugaku 2:145-161.
  48.  20
    A Correction to "Apuleius and the Square of Opposition".David Londey & Carmen Johanson - 1985 - Phronesis 30 (2):209.
  49.  2
    Apuleius is Better Still: A Correction to the Square of Opposition [de Interpretatione 180,19-181, 7 Thomas].W. L. Gombocz - 1990 - Mnemosyne 43 (1-2):124-131.
    No categories
    Direct download  
     
    Export citation  
     
    Bookmark  
  50. Special Issue on the Square of Opposition.J. Y. Beziau & G. Payette - 2008 - Logica Universalis 2 (1).
1 — 50 / 998